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Direct and Inverse Proportions — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSDirect and Inverse Proportions1 Mark
MCQ
$14$ workers can build a wall in $42$ days. One worker can build it in:
  • A
    $3$ days.
  • B
    $147$ days.
  • C
    $294$ days.
  • ✓
    $588$ days.
✓

Answer

Correct option: D.
$588$ days.
Let one worker take $x$ days to build the wall.
No. of workers $14$ $1$
No. of days $42$ $xx$
Clearly, one worker will take more days to finish the work.
So, it is a case of inverse proportion.
Now, $14 \times 42 = 1 \times x$
$\Rightarrow x = 14 \times 42$
$\Rightarrow x = 588$
$\therefore$ One worker can build the wall in $588$ days.

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